67674000 has 80 divisors (see below), whose sum is σ = 218200320. Its totient is φ = 18044800.

The previous prime is 67673989. The next prime is 67674001. The reversal of 67674000 is 47676.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (67674001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361 + ... + 11639.

It is an arithmetic number, because the mean of its divisors is an integer number (2727504).

Almost surely, 2^67674000 is an apocalyptic number.

67674000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67674000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109100160).

67674000 is an abundant number, since it is smaller than the sum of its proper divisors (150526320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67674000 is a wasteful number, since it uses less digits than its factorization.

67674000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11305 (or 11289 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 67674000 is about 8226.4208499201. The cubic root of 67674000 is about 407.5122005706.

The spelling of 67674000 in words is "sixty-seven million, six hundred seventy-four thousand".